Matrix: Zitney/hydr1

Description: Chemical process separation, Steve Zitney, Cray Research

Zitney/hydr1 graph Zitney/hydr1 graph
(bipartite graph drawing) (graph drawing of A+A')

Zitney/hydr1 dmperm of Zitney/hydr1

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  • Matrix group: Zitney
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  • download as a MATLAB mat-file, file size: 120 KB. Use UFget(837) or UFget('Zitney/hydr1') in MATLAB.
  • download in Matrix Market format, file size: 164 KB.
  • download in Rutherford/Boeing format, file size: 156 KB.

    Matrix properties
    number of rows5,308
    number of columns5,308
    structural full rank?yes
    structural rank5,308
    # of blocks from dmperm1,076
    # strongly connected comp.1
    explicit zero entries1,072
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorS. Zitney
    editorT. Davis
    kindchemical process simulation problem
    2D/3D problem?no

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD2,032,542
    Cholesky flop count2.4e+09
    nnz(L+U), no partial pivoting, with AMD4,059,776
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD29,368
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD73,961

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 1072 explicit zero entries.

    SVD-based statistics:
    null space dimension117
    full numerical rank?no
    singular value gap1.03576

    singular values (MAT file):click here
    SVD method used:s = svd (full (A)) ;

    Zitney/hydr1 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.